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2379720384 = 2635179001
BaseRepresentation
bin1000110111010111…
…1010011011000000
320010211212022200000
42031311322123000
514333202023014
61032045400000
7112654201206
oct21565723300
96124768600
102379720384
111011321168
12564b69000
132bc038192
141880a1076
15dddbc509
hex8dd7a6c0

2379720384 has 168 divisors, whose sum is σ = 7490600208. Its totient is φ = 746496000.

The previous prime is 2379720313. The next prime is 2379720391. The reversal of 2379720384 is 4830279732.

2379720384 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259884 + ... + 268884.

It is an arithmetic number, because the mean of its divisors is an integer number (44586906).

Almost surely, 22379720384 is an apocalyptic number.

2379720384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2379720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745300104).

2379720384 is an abundant number, since it is smaller than the sum of its proper divisors (5110879824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2379720384 is an equidigital number, since it uses as much as digits as its factorization.

2379720384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2379720384 is about 48782.3778018251. The cubic root of 2379720384 is about 1335.0841608349.

The spelling of 2379720384 in words is "two billion, three hundred seventy-nine million, seven hundred twenty thousand, three hundred eighty-four".